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Finding the Third Proportional to 1,846.13 and 3,966.47

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Solution

The third proportional to 1,846.13 and 3,966.47 is: 8,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.13 : 3,966.47 = 3,966.47 : x
  2. Step 2: Convert to fraction form
    1,846.13/3,966.47 = 3,966.47/x
  3. Step 3: Cross multiply
    1,846.13x = 3,966.47 × 3,966.47
  4. Step 4: Simplify right side
    1,846.13x = 15,732,874.34
  5. Step 5: Solve for x
    x = 15,732,874.34/1,846.13
  6. Step 6: Final answer
    x = 8,522.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.